MHT CET Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET

A cord is wound round the circumference of a wheel of radius 'r'. The axis of the wheel is horizontal and moment of inertia about it is I. A block of mass 'm' is attached to free end of the cord, initially at rest. When the wheel rotates and the block moves vertically downwards through distance 'h', the angular velocity of the wheel will be (Neglect the mass of cord, g = acceleration due to gravity) [MHT-CET 2021, MHT-CET 2021]

Answer: (A)

Solution

Energy conservation: with , so

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Question ID VK-040959